Finding the Third Proportional to 1,158 and 1,791.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,158 : 1,791.38 = 1,791.38 : x
2. Step 2: Convert to fraction form
   1,158/1,791.38 = 1,791.38/x
3. Step 3: Cross multiply
   1,158x = 1,791.38 × 1,791.38
4. Step 4: Simplify right side
   1,158x = 3,209,024.39
5. Step 5: Solve for x
   x = 3,209,024.39/1,158
6. Step 6: Final answer
   x = 2,771.18